make the equation slope-intercept form:
subtract 2x from both sides:
4y = -2x + 12
divide by 4 to get y by itself:
y = -1/2x + 3
to make the new line perpendicular to the existing line, completely flip the slope of the line:
y = 2x + 3
The population would be set of all Christians of that particular church from where the random samples is collected.
According to the questions,
A study was performed with a random sample 3000 people from one church. In order to find appropriate population for generalizing conclusions
The population would be set of all Christians of that particular church from where the random samples is collected.
- This is because random samples is collected only from the particular church, so its generalization can only be the possible to large population of that church.
- we can generalize to whole of that church because it is given that there was no bias is introduced.
Hence, the population would be set of all Christians of that particular church from where the random samples is collected.
Learn more about random samples here
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Answer:
2 feet by 1.25 feet
Step-by-step explanation:
The arcade floor has dimensions 120 ft by 75 ft.
The scale of the drawing on grid paper is 1 in : 5 feet. This is a reduced scale. This means that the size of the arcade floor was reduced in the drawing.
Let us simply the ratio 1 in : 5 feet.
1 foot = 12 inches
=> 5 feet = 5 * 12 = 60 inches
The ratio can be rewritten as 1 in : 60 in = 1 : 60.
Hence, multiply the individual dimensions of the arcade floor by 
.
120 feet will be:
120 * = 2 feet
75 feet will be:
75 * = 1.25 feet
Therefore, the dimensions of the scale drawing are 2 feet by 1.25 feet.
This problem is simply asking us to add the weights which are presented as fractions. You can easily get the answer if you input them directly in a calculator. But I think the challenge here is to manually add fractions.
Let's add the two 1/4 lb weights because it is easier for they have a common denominator. Just simply add the numerators.
1/4 + 1/4 = 2/4
Then, add with this the fraction part of 2 1/5.
2/4 + 1/5 = ?
The least common denominator is 4*5 = 20. Then divide 20 with each denominator and multiply to their respective numerator.
2/4 + 1/5 = [(20/4 * 2) + (20/5 *1)]/20 = 14/20
14/20 is simplified to 7/10. Then add the whole number 2. <em>Therefore, the sum of all weights is 2 7/10 pounds.</em>
Answer:
- 15
Step-by-step explanation:
